How To Compare Numbers Using Place Value

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How to Compare Numbers

Key Point: In math, we use comparison symbols >, <, and = to compare two things.

Tip: to compare means to show which is greater.

429 < 835

ii > ane

Key Point: < is the less than symbol. It shows that what'due south on its left (👈) is smaller than what's on its right (👉).

> is the greater than symbol. Information technology's the opposite of the less than symbol <.

Key Point: = is used when two things are equal.

TIP FOR REMEMBERING!

For greater than and less than symbols, the wide open mouth of the symbol always faces the larger number.

$Comparing numbers$

At present, allow'southward review how to compare big and small numbers. 😎

1, 2, 3 and iv-Digit Numbers

Numbers tin accept 1 digit, 2 digits, 3 digits, or more.

👉 1-digit numbers simply accept a digit at the Ones place value.

$8 Ones$

👉 two-digit numbers take digits at the Tens and Ones place values.

$9 Tens and 7 Ones$

👉 3-digit numbers take digits at the Hundreds, Tens and Ones identify values.

$blocks for 723$

👉 4-digit Numbers accept digits at the Thousands, Hundreds, Tens and Ones place values.

$blocks for 1645$

Steps to Compare Numbers

🌟 To compare whatsoever two numbers, follow these steps:

Step ane: Always first from the digits at the highest place value.

Step 2: Compare the digits at this place in both numbers. The number with the bigger digit is greater.

Step 3: If the digits are equal, move one place value to the right 👉, and repeat Stride 2.

Let's review these steps with some examples! 🤗

Example 1

Compare 46 and 85. Which is greater?

Which digits should we compare first?

That'due south right!

✅ Nosotros starting time by comparing the digits at the highest place value. Here, information technology'due south the Tens place.

$4 Tens and 8 Ones$

Which number has the bigger digit? 🤔

Very practiced! 85 has a bigger digit at the Tens identify.

So,

46 < 85

Let'due south try some other example.

Case two

Which is larger, ii,953 or 2,953?

😎 Permit's follow the steps once again.

✅ We offset compare the digits at the highest place value. Here, information technology is the Thousands identify.

$2953$

But wait! These digits are equal. 🤔

What do we do now?

You got it! 👍

✅ We move one place value to the correct 👉 and compare the digits at the Hundreds place.

$2953$

These digits are equal too. 🤓

✅ So, we once more motion i place value to the right 👉 and compare the digits at the Tens place.

$2953$

What do you encounter?

Correct! The digits are equal once again. 🤗

✅ For ane last time, nosotros again move one identify value to the correct 👉, and compare the digits at the Ones place.

$2953$

What practice you see? 🤔

All digits in the numbers are equal.

So,

two,953 = 2,953

Nice piece of work! 👏

Let'south try i more than example.

Example 3

Compare iii,148 and 692.

Let'due south follow the steps once more! 🤗

✅ Nosotros kickoff with the digits at the highest identify value.

$3148 and 692$

Which is the highest identify value here? 🤓

Very good! Information technology is the Thousands place value.

✅ Since the number 692 has no digit at this place value, nosotros tin can put a zip (0) there.

$3148 and 0692$

Now, allow'south compare!

What exercise you see?

You lot're correct!

3,148 has a greater digit at the Thousands place.

So,

3,148 > 692

Great job! 🎉

Now, you lot know how to compare numbers! 👏 Complete the practice to help you lot remember for longer.